MathDB

NT1

Part of 2015 JBMO Shortlist

Problems(1)

max no of 2015 consecutive int. , no sum of any 2 is divided by their difference

Source: JBMO Shortlist 2015 NT1

4/24/2019
What is the greatest number of integers that can be selected from a set of 20152015 consecutive numbers so that no sum of any two selected numbers is divisible by their difference?
number theoryconsecutivedivisibleDifferencemaximumIntegers